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Finding the Fourth Proportional to 75,185.98, 103,709.73 and 48,363.46

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Solution

The fourth proportional to 75,185.98, 103,709.73 and 48,363.46 is: 66,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,185.98 : 103,709.73 = 48,363.46 : x
  2. Step 2: Convert to fraction form
    75,185.98/103,709.73 = 48,363.46/x
  3. Step 3: Cross multiply
    75,185.98x = 103,709.73 × 48,363.46
  4. Step 4: Simplify right side
    75,185.98x = 5,015,761,378.47
  5. Step 5: Solve for x
    x = 5,015,761,378.47/75,185.98
  6. Step 6: Final answer
    x = 66,711.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.